There are few wallets that I am aware of like Atomic wallet, trust wallet, Tezos and ledger.
Are there any more and do they all support multi cryptocurrency staking also?
The above four do support staking as per my understanding.
I am using Trust wallet now. It supports TRX, XTZ and ATOM staking at the same time.
Also soon you will be able to stake IoTex and Waves.
And you can use some dapps for staking other tokens in Trust's DApp store. For example I am using it for TOMO staking. There is a Tomo Master dapp in Trust wallet.